Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

323×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	4
1	18	4
2	32	4
3	47	4
4	57	4
5	75	4
6	109	4
7	178	4
8	397	4
9	1369	4
10	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 9.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z x))
8.5b	(/ (+ x (* y (- z x))) z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

6.0ms	(* y (- z x))
5.0ms	(/ (+ x (* y (- z x))) z)

series78.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* y (- z x))
42.0ms	(/ (+ x (* y (- z x))) z)

simplify100.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	235	338
1	973	311
2	4264	311
3	5002	311

prune107.0ms

Filtered

61 candidates to 42 candidates (68.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	4	62

Merged error: 4.5b

Counts

62 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x z) y)
0.0b	(- (+ (/ x z) y) (/ (* x y) z))
7.9b	(/ (* x y) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
5×	`add-cube-cbrt`
3×	`pow1` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `diff-log` `div-exp` `sum-log` `frac-sub` `flip-+` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `prod-exp` `associate--l+` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `difference-of-squares`

Counts

3 → 52

Calls

3 calls:

6.0ms	(+ (/ x z) y)
10.0ms	(- (+ (/ x z) y) (/ (* x y) z))
4.0ms	(/ (* x y) z)

series67.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (/ x z) y)
28.0ms	(- (+ (/ x z) y) (/ (* x y) z))
21.0ms	(/ (* x y) z)

simplify33.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	253	328
1	1102	308
2	5001	304

prune108.0ms

Filtered

61 candidates to 41 candidates (67.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	61	4	65

Merged error: 0b

Counts

65 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x z) y)
0.0b	(- (+ (/ x z) y) (* (/ x z) y))
1.9b	(* (/ x z) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-l*`
11×	`add-cube-cbrt`
10×	`times-frac` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-r` `associate-*l/`
2×	`flip3-+` `diff-log` `prod-exp` `sum-log` `frac-sub` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `div-exp` `pow-prod-down` `associate--l+` `*-commutative` `flip--` `div-inv` `distribute-lft-out`

Counts

3 → 60

Calls

3 calls:

6.0ms	(+ (/ x z) y)
8.0ms	(- (+ (/ x z) y) (* (/ x z) y))
6.0ms	(* (/ x z) y)

series69.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (/ x z) y)
31.0ms	(- (+ (/ x z) y) (* (/ x z) y))
20.0ms	(* (/ x z) y)

simplify35.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	283	342
1	1146	327
2	5001	320

prune128.0ms

Filtered

69 candidates to 49 candidates (71.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	69	4	73

Merged error: 0b

Counts

73 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
2.1b	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
14.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt z)
186.0ms	(cbrt z)
178.0ms	(cbrt z)
52.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	420	720
1	2228	581
2	5001	542

prune260.0ms

Filtered

104 candidates to 82 candidates (78.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	104	4	108

Merged error: 0b

Counts

108 → 4

regimes51.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

end0.0ms

sample443.0ms

Algorithm

intervals

Results

238.0ms

10171×

body

valid